graysyriah graysyriah

01-09-2020
Mathematics

contestada

Point a is at (-1,-9) and point m is at (0.5,-2.5) point m is the midpoint of a and point b what coordinates of point b

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phamthuylinh345183 phamthuylinh345183

01-09-2020

Answer:

B (2, 4)

Step-by-step explanation:

A (-1,-9); M (0.5, -2.5); B (xB, yB)

M is the midpoint of AB, therefore we have these 2 equations:

(*) xA + xB = 2. xM

(**) yA + yB = 2. yM

(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2

(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4

So, B (2, 4)

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